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Duality and Symmetry in the Hypergeometric Distribution [PDF]
Mathematics Magazine, 2002 A CNN posting on the internet [1] reports that the 1996 trial of a rap star on manslaughter charges resulted in a hung jury. The posting says that the jury was composed of 7 men and 5 women and was hung at 9 to 3. Not reported is how many men or women voted with the majority. Several interesting probability problems come to mind.
James Jantosciak, William Barnier
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The generalized hypergeometric family of distributions
Annals of the Institute of Statistical Mathematics, 1981This is an expository summary of the authors' report on classification of the generalized hypergeometric (GHg for short) family of distributions (Sibuya and Shimizu (1981),Keio Science and Technology Report, to appear). Emphasis is laid on the definition of the distributions based on some conventional rules, and on the complete classification of the ...
Ryoichi Shimizu, Masaaki Sibuya
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Distributions Related to the Hypergeometric Distribution
Theory of Probability & Its Applications, 1964The concept of the simple sequential scheme [1] is extended to the case of samples without replacement from a finite universe.
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for the Hypergeometric Distribution
, 2014This paper gives an improved binomial distribution with parameters m and p to approximate the hypergeometric distribution with parameters N, m and n, where = n N p and m < n. It is more accurate than the binomial approximation when N is large.
K. Jaioun, K. Teerapabolarn
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2015
This chapter gives the basis for Fisher's test (Fisher–Irwin test), which is an important variant of the chi-square test and is often used in its place.
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This chapter gives the basis for Fisher's test (Fisher–Irwin test), which is an important variant of the chi-square test and is often used in its place.
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Hypergeometric Distribution: Introduction
, 2014For a finite population of subjects of two types, suppose we select a random sample without replacement. The probability distribution of the number in the sample of one of the two types is the hypergeometric distribution.
J. Shuster
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Prediction intervals for hypergeometric distributions
Communications in Statistics - Theory and Methods, 2019AbstractThe problem of constructing prediction intervals (PIs) for a future sample from a hypergeometric distribution is addressed.
K. Krishnamoorthy, Shanshan Lv
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Negative Hypergeometric Distribution
The SAGE Encyclopedia of Research Design, 2022semanticscholar +1 more source
Transform methods for the hypergeometric distribution
Statistics and Computing, 2004Two new methods for computing with hypergeometric distributions on lattice points are presented. One uses Fourier analysis, and the other uses Grobner bases in the Weyl algebra. Both are very general and apply to log-linear models that are graphical or non-graphical.
Ed Mosteig +2 more
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, 2019
In this article, we propose a new monotonically decreasing count model which includes Gauss hypergeometric function and is suitable for Zero vertex, over dispersed dataset. Though the proposed model includes Gauss hypergeometric function, nevertheless it
D. Bhati, Ishfaq Ahmed
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In this article, we propose a new monotonically decreasing count model which includes Gauss hypergeometric function and is suitable for Zero vertex, over dispersed dataset. Though the proposed model includes Gauss hypergeometric function, nevertheless it
D. Bhati, Ishfaq Ahmed
semanticscholar +1 more source